The Journal of Symbolic Logic

Research Article

The Cichoń diagram

Tomek Bartoszyńskia1 c1, Haim Judaha2a3 c2 and Saharon Shelaha4a5 c3

a1 Department of Mathematics, University of California, Berkeley, California 94720

a2 Department of Mathematics, University of California, Berkeley, California 94720

a3 Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720

a4 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903

a5 Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720

Abstract

We conclude the discussion of additivity, Baire number, uniformity, and covering for measure and category by constructing the remaining 5 models. Thus we complete the analysis of Cichoń's diagram.

(Received October 01 1991)

(Revised October 21 1992)

Key words and phrases

  • Cardinal invariants;
  • measure;
  • category

Correspondence

c1 Department of Mathematics, Boise State University, Boise, Idaho 83725, E-mail: tomek@math.idbsu.ed

c2 Department of Mathematics, Bar Ilan University, 52-100 Ramat Gan, Israel 52900, E-mail: judah@bimacs.cs.biu.ac.il

c3 Department of Mathematics, Hebrew University, Jerusalem, Israel, E-mail: shelah@sunrise.huji.ac.